Use the figure below to solve for the value of x.

Use The Figure Below To Solve For The Value Of X.

Answers

Answer 1

Given:

A figure of a right triangle and an altitude form the right angle vertex to hypotenuse.

To find:

The value of x.

Solution:

From the given figure, it is clear that the altitude divides the hypotenuse in two segments x and 8.

Length of altitude = 18

If an altitude divide the hypotenuse in 2 segments, then according to the geometric mean theorem, the length of the altitude is the geometric mean of two segments of hypotenuse.

By using geometric mean theorem,  we get

[tex]18=\sqrt{x\times 8}[/tex]            [tex][\because \text{Geometric mean of }a,b,c:b=\sqrt{ac}][/tex]

[tex]18^2=8x[/tex]

[tex]324=8x[/tex]

Divide both sides by 8.

[tex]\dfrac{324}{8}=x[/tex]

[tex]40.5=x[/tex]

Therefore, the value of x is 40.5.


Related Questions


The diameter of a cone is 4 centimeters and has a height of 6 centimeters. How much
greater is the volume of a cylinder that has the same diameter and same height?

Answers

Hopefully this helps

Please help I don't understand this math question!

Answers

Answer:

She multiplied 15x12 instead of calculating all of the numbers. The carpet is not a rectangle so therefore it cannot measure exactly 180 if that whole part it missing.

Step-by-step explanation:

Tom has 50 coins consisting of quarters and dimes. The combined value of coins is $8.30. How many dimes and quarters does Tom have
dimes
quarters

Answers

Answer:

32 quarters and 3 dimes

Step-by-step explanation:

you could do 4 x 8 to get to the 8 dollars so 4 x 8 = 32 so that would be 32 quarters now you got 30 cents left that will be the dimes so 3 dimes

Graph the linear equation 7x+4y=-28

Answers

Answer:F

Step-by-step explanation:

The triangle below are similar find the lengths of the missing side.

Answers

Answer:

The answer is b =9

Step-by-step explanation:

20:12=15:b

5:3=15:b

cross multiply

5×b=3×15

5b=45

divide both sides by 5

b=45÷5

b=9

f(x) = x^2. What is g(x)?


please answer quick i’ll give brainliest

Answers

Answer:

-x² - 3

Step-by-step explanation:

If a function is concave down, that means the x value is negative.

Hence we know that it should be -x²

The graph is translated 3 units down

Hence:

-x² - 3

30 POINTS // URGENT

On the first day of a sale, a camera was reduced by $21.60. This represented 12% off the original price. On the last day of the sale, the camera was sold for 70% of the original price. What was the final selling price of the camera?

GIVING BRAINLIEST to best explained answer. If you respond with an irrelevant answer I will report the question and your answer and your points will be taken away.

Repost.

MIDDLE SCHOOL LEVEL MATH

Answers

Answer:

54$ is the final selling price of the camera

for fnej pls answer correctly if u r going to answer whoever else ty!! :)

Answers

Answer:

Image 1:

1) True (Intersection is (2, 140)

2) False

3) Not sure, but I'm leaning towards F

4) True

Image 2: -4

Step-by-step explanation:

y = 50x + 40

y = 60x + 20

y = 50(6) + 40 = 340

y = 60(6) + 20 = 380

140 = 50x + 40

50x = 100

x = 2

140 = 60x + 20

60x = 120

x = 2

Image 2:

y= mx+b

y = -0.5x - 4

b is the y intercept

How many small cubes, with a side length of 1/2 cm, will fill the larger rectangular prism below?

Answers

Answer: I believe 20 1/2 cm cubes would fit in the rectangular prism

Step-by-step explanation:

A store owner has 7.41 lbs. of candy. If she puts the candy into 9 jars, how much candy will each jar contain with how much left over?

Answers

There would be about 0.82 lbs of candy in the jar.
Explanation: 7.41 divided by 9= .82333
Each jar will contain .82 lbs of candy. The left over remaining candy will be .03 lbs :)

A taxi company charges passengers $1.75 for a ride, no matter how long the ride is, and an additional $0.40 for each mile traveled. The rule c = 0.40m + 1.75 describes the relationship between the number of miles m and the total cost of the ride c.
a. What is the charge for a 1-mile ride?
b. What is the charge for a 2.7-mile ride?


A. $0.40; $5.13


B. $1.75; $2.15


C. $0.40; $1.08


D. $2.15; $2.83

Answers

Answer: THE ANSWER IS D. $2.15; $2.83

a taxi company charges passengers 1.75 for a ride,?

a taxi company charges passengers 1.75 for a ride, no matter long the ride is, and an additonal $0.40 for each mile traveled. the rule c=0.40m+1.75 describes the relationship between the number of miles M and the total cost of the ride c.  

what is the charge for 2.7 mile ride

A.    5.13

B.    1.08

C.    2.15

D.    2.83

Favorite Answer

D  2.83

c = 0.4. * 2.7 + 1.75

=> c = 2.83

Step-by-step explanation: It Looks Like The Answer is D

c=0.40(2.7)+1.75=$2.83 so $2.83 is the answer

1.75+(2.7*.4)=

1.75+1.08=

2.83

The answer is $2.83

CE=46 and GE=3x-10 solve for x

Answers

Answer:

X = 11

Step-by-step explanation:

2(3x-10) = 46

6x = 66

X = 11

A Fahrenheit thermometer shows that the temperature is 22 degrees below zero.

Answers

no one said it is not true or false and it doesn’t look good for the people

can someone plz help with this? geometry:)

Answers

Answer:

One property of rectangles is that the diagonals of rectangles bisect each other, meaning 2 of JN is equal to JL.

We can form an equation off of this, 2(x+3) = 3x + 1 and then solve for x    

               

2(x+3)= 3x + 1                     First, distribute the 2 to each term in x+3,

the result should be:

2x + 6 = 3x+ 1          then subtract 2x from both sides

-2x        -2x

the result should be :

 6 = x + 1             subtract 1 from both sides

-1         -1

the result should be x=5

plug that into the equations and JN= 5+3, JL=15+1

The two correct options are

NM = 8  ( both of the diagonals are equal to eachother )

JL = 16

Edison delivers
1/5 of the newspapers in the neighborhood, and Anita
delivers 1/2 of them. after edison and antia deliver the newspaper, what fraction of the newspaper remain

Answers

Answer:

the fraction of the newspaper remains is [tex]\frac{3}{10}[/tex]

Step-by-step explanation:

The computation of the fraction of the newspaper remains is shown below:

[tex]= \frac{1}{2} - \frac{1}{5} \\\\= \frac{5 - 2}{10} \\\\= \frac{3}{10}[/tex]

Hence, the fraction of the newspaper remains is [tex]\frac{3}{10}[/tex]

we simply deduct these two fractions so that the remaining fractions could come

Which is the slowest reading rate? *

2 points

4 pages in 10 minutes

5 pages in 13 minutes

3 pages in 9 minutes

7 pages in 20 minutes

Answers

answer: 4 pages in 10 minutes
explanation: 2.5min/page

lucy works for 37 hours per week. her weekly wage is £303.40. she receives a pay increase of 25p per hour. work out her new weekly wage

Answers

Answer:

312.65

Step-by-step explanation:

The new weekly wage is $312.65 if the Lucy works for 37 hours per week. Her weekly wage is £303.40.

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

Lucy works for 37 hours per week.

Weekly wage = $303.40

Per hour wage = 303.40/37 = $8.2 per hour

1 dollar = 100 penny(p)

25p = $0.25

New wage per hour = 8.2 + 0.25 = $8.45

Total wage = 8.45×37 = $312.65

Thus, the new weekly wage is $312.65 if the Lucy works for 37 hours per week. Her weekly wage is £303.40.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Simplify each ratio to lowest terms.

Answers

Answer:

This is your work so i cant do it but I can give you a hint divide both the numerator and deomonator to get simplified form

Step-by-step explanation:

Answer:

ericyikaimiao said she/he is right

why is 15 + 1/2 an algebraic expression?

Answers

Answer:

There is no equal sign.

Step-by-step explanation:

There is no equal sign to make it an algebraic equation.

Answer:

15+1/2

=15+0.5

=15.5

Ans: 15.5

Someone please help and please hurry due in 13 minutes :(

Answers

answer: corresponding

Okay so I need to know what 1 + 1 =?

Answers

i know but yes i need to know it

Answer:

There are 1,035,779,173,390 different ways to answer 1+1

Step-by-step explanation:

I will give 4 examples

1. quentin trembley, the president on the negative 12 dollar bill.

2. d e s p a s i t o

3.(╭☞・◡・)╭☞     m0nkE bOnK

4. the cold heart of russian winter

How many squares does it take to make a square?

Answers

Answer:

aaalot I'm guessing I'm stu.pid

whaaaaaaat????????? UwU

A price is increased by 32% and is now 792.

Work out the original price.

Answers

Answer:

538.56

Step-by-step explanation:

792divide100=7.92x32=253.44

792-253.44=

Multiply your answer in the first question (the number of
3
weeks) by Did you get 3 as a result? If not, revise
4
your previous work.


A. Yes, I got 3.

B. No, I did not get 3. I had to revise my previous work.

Answers

The lines on a basketball form a half circle at the free throw line. Use the picture to determine the area of the half circle. Round your answer to the nearest tenth.

What is the volume of a prism with a length of 3 units, a width of 6 units, and a height of 2 units?

Answers

Answer:

36 units³

Step-by-step explanation:

The volume of a rectangular prism is given by

Volume, V = l * w * h, where

V = volume like I had stated

L = length of the prism

w = width of the prism

h = height of the prism

Going by the aforelisted parameters, we can apply them to the formula to get our answer straight

Volume, V = 3 * 6 * 2

Volume, V = 36 units³

Therefore, the volume of the prism is 36 units³

A line with a slope of 3 passes through the point (-1, 2).
Write an equation for this line in point-slope form.

Answers

Answer:

y-2=3(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

y-2=3(x-(-1))

y-2=3(x+1)

HELP ITS DUE IN 15 mins!!!!! and i need help:(

Answers

Answer: Fred's Slope

Step-by-step explanation:

Comparing the slope were are looking at the numerator or y of the slope to find which one takes you the highest compared to the others.

Start with Sam who has a slope of 2/11 or rise 2 run 11 which is pretty flat so sam is out

Fred and Anne both have a slope that is a whole number so we're lloking for the bigger number which would be Fred

Anne's slope is 4.75

sams slope is 2/11

and fred’s is 5

7x -2(x-11)=-103
what is x

Answers

Answer:

the answer is x=−25

Step-by-step explanation:

hoped I helped:)

Answer:

7x-2x+22=-103

5x. =-103-22

5x =-125

X.=-25

1 000 sheets of computer paper for $8.95 find unit rate

Answers

The answer is 2.5 plus the sum of 1000


In a square of side length s, what is the length of a diagonal?
A)1
S2
B)2s
C)Vs
D) sV 2

Answers

Answer:

Option A) it has square roots of 2 is the answer

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